Mathematics – Probability
Scientific paper
Jun 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986nps..reptr....b&link_type=abstract
M.S. Thesis Naval Postgraduate School, Monterey, CA.
Mathematics
Probability
Atmospheric Models, Molecular Collisions, Particle Collisions, Saturn Atmosphere, Saturn Rings, Ballistic Trajectories, Computerized Simulation, Mass Transfer, Toroidal Plasmas, Transport Properties
Scientific paper
An analytic model is developed to allow derivation of the probability that a molecule in the atmosphere of Saturn's rings collides with at least one ring particle when traversing the ring plane. The resulting expression involves details of the molecule's trajectory, including the velocity of the molecule relative to ring particles; thus, the theory is compatible with recently developed ballistic-transport computer models used in the analysis of the rings. The collision theory is applied to the case of a low energy, isotropic molecular production process to make inferences on the spatial extent of the ring atmosphere associated with such a source. The high frequency of collisions expected for the atmosphere in the vicinity of the A and B rings suggests a toroidal atmosphere.
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